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TUGAS

PENDAHULUAN INVERSI GEOFISIKA

OLEH :

SESAR PRABU DWI SRIYANTO ( 13.12.2785 )

PROGRAM STUDI GEOFISIKA

PROGRAM DIPLOMA I

SEKOLAH TINGGI METEOROLOGI KLIMATOLOGI DAN GEOFISIKA

!AKARTA

TAHUN 2"1#

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1) Inversi Linier, temperature (Ti) naik bertambah kedalaman dengan proses(m1,m2)m1 + m2 zi = Ti

No ep Temp1 ! "!#$2 1% !" 2! ''#"$ $& 2#"! !& 1"'#%% %& 1$'#&' '& 1 & 12#' & 1#!1& 1&& 22"#2

Script MATLAB :

%soal no 1clear;clc; A=xlsread('data_1.xlsx');x=A(:,1);y=A(:,2); G=[ones(size(x)),x]d=[y] or!at lon"G#=G'

in$ersi_!atrix=in$(G'G)!=(in$(G'G))G'd !1=!(1,:)!2=!(2,:)

Hasil MATLAB :

* =

  1 !

  1 1%

  1 2!

  1 $&

  1 !&

  1 %&

  1 '&

  1 &

  1 &

  1 1&&

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d =

  "!#$&&&

  !&&&

  ''#"&&&  2#"&&&

  1"'#%&&&

  1$'#&&&&

  1&&&

  12#'&&&

  1#!&&&

  22"#2&&&

*T =

  1 1 1 1 1 1 1 1 1 1

  ! 1% 2! $& !& %& '& & & 1&&

inversimatri =

  $&'&%"!1%&11! -&&!''1&"!'$%%"

  -&&!''1&"!'$%%" &&&1&'&&$"2%

m =

  2!#2&&2&2%%$2'1!

  1#1!2$'2%$&2$

m1 =

  2!#2&&2&2%%$2'1!

m2 =

  1#1!2$'2%$&2$

2) Inversi parabola, modi.kasi data temperature vs kedalaman, lebih rumit,

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m1 + m2 zi + m" zi2 = Ti

No ep Temp1 ! 22 22#%" 1$ 2!#"$ 21 "2#'! "& $1#!% "% $#2' $! %"#' !& '$#%

Script MATLAB :

%soal no 2clear;clc;

 A=xlsread('data_2.xlsx');x=A(:,1);y=A(:,2); or!at s&ortG=[ones(size(x)),x,(x.2)]d=[y] or!at lon"G#=G'in$ersi_!atrix=in$(G'G)!=(in$(G'G))G'd

 !1=!(1,:)!2=!(2,:)!=!(,:)

Hasil MATLAB :

* =  1 ! 2!  1 %$  1 1$ 1%  1 21 $$1  1 "& &&  1 "% 12%  1 $! 2&2!  1 !& 2!&&

d =  2&&&  22#%&&&  2!#"&&&  "2#'&&&  $1#!&&&

  $#2&&&  %"#'&&&

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  '$#%&&&

*T =  1 1 1 1 1 1 1 1  ! 1$ 21 "& "% $! !&

  2! %$ 1% $$1 && 12% 2&2! 2!&&

inversimatri =  1#2&1%11$1"$1%! -&$%!!$!&"1$ &&1%!!"1'"!1$  -&$%!!$!&"1$ &1&%$'$$%2!%2' -&&&1''1'!'%!  &&1%!!"1'"!1$ -&&&1''1'!'%! &&&&&"$!'!%2'

m =  1#!$$$'$$"'$1  !!&!'&"$$&$  &1$2&!2%$2&1

m1 =  1#!$$$'$$"'$1

m2 =  !!&!'&"$$&$

m" =  &1$2&!2%$2&1

") /erdasarkan metode seismik re0eksi tunggal horizontal, arilah nilai keepatan(v) dan kedalaman (z) di lapisaniketahui keepatan seismik konstan (v), 3arak (), 4aktu (t)

5odel matematika 6

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Script MATLAB :

%soal no clear;clc; A=xlsread('data_.xlsx');x=A(:,1);y=A(:,2); or!at s&ortG=[ones(size(x)),(x.2)]d=[(y.2)] or!at lon"G#=G'in$ersi_!atrix=in$(G'G)!=(in$(G'G))G'd !1=!(1,:)!2=!(2,:) $=srt(1*!2)z=srt((!1($2))*+)

Hasil MATLAB :

* =  1 "%&&  1 %$&&  1 1&&&&  1 1$$&&  1 1%&&  1 2!%&&  1 "2$&&  1 $&&&&

d =  %$

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  %!"  %!'  %%$  %'&  %'

  %%  %%

*T =  1 1 1 1 1 1 1 1  "%&& %$&& 1&&&& 1$$&& 1%&& 2!%&& "2$&&$&&&&

inversimatri =  $"!!21%&'$%2! -&&&&1%"$"2$2$  -&&&&1%"$"2$2$ &&&&&&&&&%&1'1

m =  %$$'%!1'  &&&&&&12'2"2'1

m1 =  %$$'%!1'

m2 =  1#2'2"2'1&!%'2e-&'

v =  2#''&1%!!2&"$"1e+&"

z =  '#12"&2"1%"!&1'e+&2